HELMKE, U and WILLIAMSON, RC (1995) NEURAL NETWORKS, RATIONAL FUNCTIONS, AND REALIZATION-THEORY. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 8 (1). pp. 27-49. ISSN 0932-4194,
Full text not available from this repository.Abstract
The problem of parametrizing single hidden layer scalar neural networks with continuous activation functions is investigated. A connection is drawn between realization theory for linear dynamical systems, rational functions, and neural networks that appears to be new. A result of this connection is a general parametrization of such neural networks in terms of strictly proper rational functions. Some existence and uniqueness results are derived. Jordan decompositions are developed, which show how the general form can be expressed in terms of a sum of canonical second order sections. The parametrization may be useful for studying learning algorithms.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BACKPROPAGATION; NEURAL NETWORKS; REALIZATION THEORY; PARAMETRIZATION |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/52868 |
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